Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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MULTIPLE CHOICE TEST

(All Tests)

BACKGROUND

(More on Interpolation)

INTERPOLATION

(More on Interpolation)

Pick the most appropriate answer.


Q1. The number of different polynomials that can go through two fixed data points (x1,y1) and (x2,y2) is

0
1
2
infinite


 

Q2. Given n+1 data pairs, a unique polynomial of degree __________________ passes through the n+1 data points.

n+1
n
+1 or less
n
n
or less


 

Q3. The following function(s) can be used for interpolation

polynomial
exponential
trigonometric
all of the above


 

Q4. Polynomials are the most commonly used functions for interpolation because they are easy to

evaluate
differentiate

integrate
evaluate, differentiate and integrate


 

Q5. Given n+1 data points (x0,y0), (x1,y1), ...,(xn-1,yn-1), (xn,yn),  and assume you pass a function

f(x) through all the data points.  If now the value of the function f(x) is required to be found outside the range of the given x-data, the procedure is called

extrapolation
interpolation
guessing

regression


 

Q6. Given three data points (1,6), (3,28), (10, 231), it is found that the function y=2x2+3x+1 passes through all the three data points.  Your estimate of y at x=2 is
6
15
17
28


 

 

Complete solution

 

 

Multiple choice questions on other topics


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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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